Atkin-Lehner |
2- 3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69426bj |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-95296181859174366 = -1 · 2 · 37 · 78 · 194 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-154166,-27591469] |
[a1,a2,a3,a4,a6] |
Generators |
[44500:885093:64] [330450:12271847:216] |
Generators of the group modulo torsion |
j |
-555852234415692313/130721785815054 |
j-invariant |
L |
13.069765218317 |
L(r)(E,1)/r! |
Ω |
0.11898569618672 |
Real period |
R |
54.921581489172 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142i3 |
Quadratic twists by: -3 |